Four dimensional superconformal theories from M5 branes

TL;DR

This paper introduces a method to determine operator dimensions and R-charges in 4D N=1 superconformal theories derived from M5 branes wrapped on Riemann surfaces, extending previous N=2 class S results.

Contribution

The authors propose a spectral curve-based approach to find scaling dimensions and R-charges in N=1 SCFTs from M5 branes, generalizing known N=2 techniques.

Findings

Method successfully determines chiral operator dimensions.

Procedure aligns with known N=2 class S results.

Applied to new N=1 SCFTs, including deformations of Argyres-Douglas theories.

Abstract

We study N=1 superconformal theories in four dimensions obtained wrapping M5 branes on a Riemann surface. We propose a method to determine from the spectral curve the scaling dimension of chiral operators in the SCFT. Whenever the R-symmetry has to be determined via a-maximization, our procedure allows us to determine the charge of chiral operators under the "trial" R-symmetry. Our proposal reduces to the correct prescription in the special case of N=2 theories of class S. We perform several consistency checks and apply our method to study some new SCFT's such as N=1 deformations of Argyres-Douglas theories.